Anti-windup control based on LMI and vibration suppression for the flexible spacecraft

The flexible spacecraft which contains the flexible attachment and low power motors tends to result in the input saturation and the modes vibrations. To solve these problems, anti-windup compensators were designed based on the line matrix inequality (LMI) method for the saturation, which guarantees the saturation control system stability; meanwhile, the input shapers were redesigned to suppress the modes vibration and optimize the system output. Compared with the traditional saturation control method, the order of the saturation control system keeps same, without any state variables of the model. Moreover, the input shapers redesigned enhances the effects of the vibration suppression which helps smooth the system output. At last the theoretical and simulation results show the effectiveness of proposed methods.